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App. 6(4)(2014):1-15), introduced a new fractional derivative, \\[{}^\\rho \\mathcal{D}_a^\\alpha f (x) = \\frac{\\rho^{\\alpha-n+1}}{\\Gamma({n-\\alpha})} \\, \\bigg(x^{1-\\rho} \\,\\frac{d}{dx}\\bigg)^n \\int^x_a \\frac{\\tau^{\\rho-1} f(\\tau)}{(x^\\rho - \\tau^\\rho)^{\\alpha-n+1}}\\, d\\tau \\] which generalizes two familiar fractional derivatives, namely, the Riemann-Liouville and the Hadamard fractional derivatives to a single form. In this paper, we derive the existence and uniqueness results for a generalized fractional differential equation governed by the fractional derivative in"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1411.5229","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-11-07T05:49:55Z","cross_cats_sorted":[],"title_canon_sha256":"f9a37c084db13cae5e527843a3f1318bfa80b882e07e1a5f3f56adce6c1d3cd8","abstract_canon_sha256":"dbc16223da347f3a6a815d13cd12122c13ba8fc103ed9f76643da91cf1307614"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:38.172028Z","signature_b64":"ll5tDczDUpbJj/h860jOaJFLUSXjAV9ob/qzLrggJOIktS4QYC4L2bjeJY4XMv6dvB5BJ4/YDSRaV16JNRsODg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ae919a36453047916839b2d769d373c836b7d2e874d0eefbfcba0b4e87b15e6","last_reissued_at":"2026-05-18T01:12:38.171688Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:38.171688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Existence and Uniqueness results for a class of Generalized Fractional Differential Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Udita N. 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